ON THREE-PARAMETER FAMILIES OF FILIPPOV SYSTEMS — THE FOLD–SADDLE SINGULARITY-Reference-Cited by-同舟云学术

ON THREE-PARAMETER FAMILIES OF FILIPPOV SYSTEMS — THE FOLD–SADDLE SINGULARITY

Published:2012-12 Issue:12 Volume:22 Page:1250291
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

BUZZI CLAUDIO AGUINALDO¹,DE CARVALHO TIAGO²,TEIXEIRA MARCO ANTONIO³

Affiliation:

1. Departamento de Matemática, Universidade Estadual Paulista, Rua Cristovão Colombo, 2265 São José do Rio Preto, São Paulo, Brasil

2. Departamento de Matemática, Universidade Estadual Paulista, Rua Eng. Luiz Edmundo Carrijo Coube, 14-01 Bauru, São Paulo, Brasil

3. Instituto de Matemática, Estatística e Computação Científica, Universidade Estadual de Campinas, Rua Sérgio Buarque de Holanda, 651 Campinas, São Paulo, Brasil

Abstract

This paper presents results concerning bifurcations of 2D piecewise-smooth vector fields. In particular, the generic unfoldings of codimension-three fold–saddle singularities of Filippov systems, where a boundary-saddle and a fold coincide, are considered and the bifurcation diagrams exhibited.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127412502914

Reference14 articles.

1. Monografias de Matemática;Dumortier F.,1978

2. Differential Equations with Discontinuous Righthand Sides

3. Generic bifurcations of low codimension of planar Filippov Systems

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